A statistical test is a formal procedure for evaluating evidence about a population parameter or model assumption using sample data. It operates by: (1) specifying a null hypothesis (H0) representing a baseline claim and an alternative hypothesis (H1); (2) selecting a test statistic whose sampling distribution is known or can be approximated under H0; (3) computing the test statistic from the observed data; (4) calculating the p-value as the probability of observing a test statistic at least as extreme as the computed value, assuming H0 is true; (5) comparing the p-value to a pre-specified significance level (alpha) to reach a decision to reject or fail to reject H0. The parameters that define a statistical test include the hypothesis structure, the chosen test statistic, the underlying sampling distribution assumptions, the significance threshold, and whether the test is one-tailed or two-tailed. A statistical test persists through formal documentation in statistical textbooks, implementation in statistical software packages (R, Python's scipy, SAS), and sustained academic and industry practice. [formal: probare | substrate: mind | horizon: a life | explicit: yes | epoch: 0.01]
Accepted ontology entry
statistical test
A statistical test is a formal procedure for evaluating evidence about a population parameter or model assumption using sample data. It operates by: (1) specifying a null hypothesis (H0) representing a baseline claim and an alternative hyp…
Definition
Why it is in scope
A human-made statistical procedure for evaluating evidence about a population parameter or model assumption, using sample data to produce a decision rule. Built with formal hypotheses, test statistics, sampling distributions, and significance thresholds. Persists through textbooks, software implementations, and academic practice.
Names and aliases
- statistical testen · CANONICAL
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Relations to this entry
- cmskyze2305tynobphmmqsnmp← INSTANCE_OF
The Durbin-Watson test is a specific statistical test used to detect autocorrelation in regression residuals. It follows the standard test structure: null hypothesis of no autocorrelation, a specific test statistic (DW statistic), known sampling distribution under H0, p-value computation, and decision rule based on significance level. A competent speaker would call it a statistical test.
- cmskzv2r405wwnobpu754ccju← INSTANCE_OF
The Breusch-Pagan test is a specific kind of statistical test used to detect heteroscedasticity in regression residuals. It follows the standard structure: null hypothesis of homoscedasticity, a chi-squared test statistic, and a decision rule. A competent speaker would call it 'a statistical test.' Specific→general.
- cmrcnskut00ww13vzhdk6xjwn← INSTANCE_OF
A hypothesis test is a specific kind of statistical test. The hypothesis test uses statistical methods to evaluate a null hypothesis, making it a specialized case of the broader statistical test concept.
Record identity
- Created
- Aug 9, 2026, 6:57 PM UTC
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- 3d5fb8ade7d63d83e71ae7d7ffcaf933912fa45dbb8a546502957a364c250119